diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..d6320fd --- /dev/null +++ b/.gitignore @@ -0,0 +1,10 @@ +manual/msc-file.dvi +manual/scyther-manual-draft.idx +manual/scyther-manual-draft.pdf +manual/scyther-manual.idx +manual/scyther-manual.pdf +manual/flow-simple.epsi +manual/flow.epsi +manual/msc-file.dvi +manual/msc-ns.eps +manual/msc-ns.pdf diff --git a/gui/scyther-manual.pdf b/gui/scyther-manual.pdf index d35d7c3..4c7e94c 100644 Binary files a/gui/scyther-manual.pdf and b/gui/scyther-manual.pdf differ diff --git a/manual/Makefile b/manual/Makefile index 4e0411b..084733b 100644 --- a/manual/Makefile +++ b/manual/Makefile @@ -23,6 +23,8 @@ scyther-manual.pdf: scyther-manual.tex biblio.bib $(IMG) $(DEPS) $(MSC) bibtex scyther-manual pdflatex scyther-manual.tex pdflatex scyther-manual.tex + # Copy to expected location + cp scyther-manual.pdf ../gui/ SDRAFT= --jobname=scyther-manual-draft "\def\draftversion{yes}\input{scyther-manual}" scyther-manual-draft.pdf: 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known{start-hook}if pop/VResolution X/Resolution X -1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 -index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N -/dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 -def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 -rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 -N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop -false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A -length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} -forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ -BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat -{BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch -round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 -rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B -/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} -B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p --3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ -0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end -%%EndProcSet -%%BeginProcSet: pstricks.pro 0 0 -% $Id: pstricks.pro 317 2021-11-16 20:47:25Z herbert $ -% -%% PostScript prologue for pstricks.tex. -%% Version 1.41, 2021/11/16 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -% -% Define the follwing gs-functions if not known, eg when using distiller -% -revision 952 gt -{ - systemdict /.setopacityalpha known not - { - (\n\n%%%% WARNING: Transparency operations ignored - need to use -dALLOWPSTRANSPARENCY\n\n) print flush - /.setopacityalpha { pop } bind def - /.setshapealpha { pop } bind def - /.setfillconstantalpha { pop } bind def - /.setstrokeconstantalpha { pop } bind def - } - { - /.setopacityalpha /.setfillconstantalpha load def -% /.setblendmode { pop } def %% works again hv 20210825 - /.setshapealpha {dup .setfillconstantalpha .setstrokeconstantalpha true .setalphaisshape } def - } ifelse -} -{ - systemdict /.setopacityalpha known not - { - (\n\n%%%% WARNING: Transparency operations ignored - need to use -dNOSAFER\n\n) print flush - /.setopacityalpha { pop } bind def - /.setshapealpha { pop } bind def - } if -} ifelse -% -%% .setalphaisshape - -%% If true, the values set by setstrokeconstantalpha and setfillconstantalpha are interpreted as shape values. The initial value of the AIS flag is false. -% -% -/tx@Dict 200 dict def % the main PSTricks dictionary -tx@Dict begin -/ADict 25 dict def % The arrow dictionary -/fill@Dict 30 dict def % the fill dictionary -/CM { matrix currentmatrix } bind def -/SLW /setlinewidth load def -/CLW /currentlinewidth load def -/CP /currentpoint load def -/ED { exch def } bind def -/L /lineto load def -/T /translate load def -/TMatrix { } def -/RAngle { 0 } def -/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def % return 0 for negative arguments -/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known -/ATAN1 {neg -1 atan 180 sub } def % atan(x) (only one parameter) -/Div { dup 0 eq { pop } { div } ifelse } def % control the division -/Log { dup 1e-20 lt { pop -1e30 }{ log } ifelse } def % control the log -/tan { dup cos abs 1.e-10 lt - { pop 1.e10 } % return 1.e10 as infinit - { dup sin exch cos div } ifelse % default sin/cos -} def -/Tan { dup sin exch cos Div } def % sin(x)/cos(x) x in degrees -/Acos {dup dup mul neg 1 add dup 0 lt { % arc cos, returns 0 when negative root - pop pop 0 }{ sqrt exch atan} ifelse } def -/Acos2 { 2 dict begin - /x ED /y ED - y abs 1.0e-20 lt { 1.0e30 } if - x y div - dup dup mul neg 1 add dup 0 lt { % arc cos needs two values x,y - pop pop 0 }{ sqrt exch atan} ifelse - y 0 lt { 180 add } if -} def -/Power { % a^b latest ghostscript don't allow -4^-3.1 - 2 dict begin % hold all local - /b ED - /a ED - a 0 lt % prevent something like (-4)^(-3.1)=> 1/(-4)^3 - { b 0 lt - { a b cvi exp } - { a b exp } ifelse - } - { a 0 eq { 0 }{ a b exp } ifelse - } ifelse - end -} def -% -/NET { neg exch neg exch T } def % change coordinate system to the negative one -/Pyth { dup mul exch dup mul add sqrt } def % Pythagoras, expects 2 parameter -/addCoors { - 3 -1 roll % xA xB yB yA - add % xA xB yB+yA - 3 1 roll % yB+yA xA xB - add % yB+yA xA+xB - exch % xA+xB yA+yB -} def -/Pyth2 { % Pythagoras, xA yA xB yB - 3 -1 roll % xA xB yB yA - sub % xA xB yB-yA - 3 1 roll % yB-yA xA xB - sub % yB-yA xA-xB - Pyth } def -/PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian (original) -/PtoCrel { pst@angleunit PtoC } def % Polar to Cartesian with \degrees[??] -/PtoCab { dup cos 4 -1 roll mul 3 1 roll sin mul } def % Polar to Cartesian (Ellipse) a b phi-> x y -/AnytoDeg { pst@angleunit } def -/DegtoAny { 1 pst@angleunit div} def -/AnytoRad { AnytoDeg DegtoRad } def -/RadtoAny { RadtoDeg DegtoAny } def -% -%/Rand { rand 4294967295 div } def % a real random number -/Rand { rand 2147483447 div } def % a real random number between 0 and 1 -%----------------- hv added 20050516 --------------- -/PiDiv2 1.57079632680 def -/Pi 3.14159265359 def -/TwoPi 6.28318530718 def -/Euler 2.71828182846 def -%/e Euler bind def -% -/RadtoDeg { 180 mul Pi div } bind def % convert from radian to degrees -/DegtoRad { Pi mul 180 div } bind def % viceversa -% -/startGlobal { true setglobal globaldict begin } bind def -/endGlobal { end false setglobal } bind def -% -/pssetRGBcolor /setrgbcolor load def -/pssetCMYKcolor /setcmykcolor load def -/pssetGraycolor /setgray load def -% -%----------------- hv end--------------------------- -/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def -% -/PathLength { - 10 dict begin - flattenpath /z 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def } - { /y ED /x ED PathLength@ } - {} - { /y y2 def /x x2 def PathLength@ } - /pathforall load stopped { pop pop pop pop } if - z - end -} def -% -/STP { .996264 dup scale } def % BP/PT scaling -/STV { SDict begin normalscale end STP } def % -% -/DashLine { - dup 0 gt - { /a .5 def PathLength exch div } - { pop /a 1 def PathLength } ifelse - /b ED % pattern should fit evenly in b - dup /X ED % pattern array - 0 get /y ED % length of first black segment - /z 0 X {add} forall def % length of the full pattern - %% Computation of the scaling factor as described by van Zandt: - b a .5 sub 2 mul y mul sub z Div round - z mul a .5 sub 2 mul y mul add b exch Div - %%%% scaling factor on stack. - /z ED %% now, z is the scaling factor - false % for the length test below - X { z mul } forall X astore %% modification TN 04-08-07 - %%% Checking whether at least one dash in X has positive length: - {0 gt or} forall - { X 1 a sub y mul } - { [ 1 0 ] 0 } - ifelse - setdash stroke -} def -% -/DotLine { - /b PathLength def - /a ED /z ED /y CLW def - /z y z add def - a 0 gt { - /b b a div def - }{ - a 0 eq { - /b b y sub def - }{ a -3 eq { - /b b y add def } if - } ifelse - } ifelse - [ 0 b b z Div round Div dup 0 le { pop 1 } if ] - a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse - setdash 1 setlinecap stroke -} def -% -/SymbolLine { % on stack [ x y x y ... - counttomark % number of elements - 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - %% for negative SymStep we calculate the distance - SymStep 0 lt - { %XYLength SymStep div abs cvi - /nSym SymStep abs cvi def } - { /nSym XYLength SymStep div cvi def } - ifelse - 0.5 setflat - /Shift Symbol stringwidth pop 2 div def - /deltaX XLength nSym div def - /deltaY YLength nSym div def - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - nSym { - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - currentpoint translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - deltaX deltaY rmoveto - } repeat - /YA YB def /XA XB def - } repeat - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - XA YA translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - pop % delete the mark symbol -} def -% -/LineFill { % hv ------------ patch 7 ------------- - gsave - abs /hatchWidthInc ED - abs /hatchSepInc ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clipType % must be defined in pstricks.tex: clip -- eoclip - newpath - 2 setlinecap - systemdict /setstrokeadjust known { true setstrokeadjust } if - x2 x1 sub 1 add { - x1 a mul y1 moveto 0 y2 rlineto stroke - /x1 x1 1 add - hatchWidthInc 0 gt { CLW add } if - def - hatchSepInc 0 gt hatchWidthInc 0 gt or { - /a a hatchSepInc add def - CLW hatchWidthInc add SLW - } if - } repeat - grestore - pop pop } def -% -/DotFill {% on stack: dot radius - /dotRadius ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform - pathbbox % llx lly urx ury of smallest bounding box - /y2 ED /x2 ED /y1 ED /x1 ED - y2 y1 sub a div 2 add cvi /Ny ED - x2 x1 sub a div 2 add cvi /Nx ED - clipType % must be defined in pstricks.tex: clip -- eoclip - newpath - /yA y1 dotRadius add CLW add def - /xA0 x1 dotRadius add CLW add def - Ny { - /xA xA0 def - Nx { - newpath - xA yA dotRadius 0 360 arc - SolidDot { gsave fill grestore } if - stroke - xA a add /xA ED - } repeat - yA a add /yA ED - } repeat - grestore -} def -% -/PenroseFill {% on stack: scaling factor - 40 dict begin - /Scale ED -% 1 exch div round /penroseFactor ED -% a 0 dtransform round exch round exch -% 2 copy idtransform -% exch Atan rotate -% idtransform pop /a ED -% .25 .25 itransform pathbbox -% /y2 ED -% a Div ceiling cvi /x2 ED /y1 ED -% a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - gsave - 220 150 translate - Scale dup scale - systemdict /setstrokeadjust known { true setstrokeadjust } if - /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} - { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall - [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto - i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 - mul j l + S rmoveto}F i L j L stroke }F}F}F}F - grestore -% pop pop - end % userdict -} def -% -/PenroseFillA {% on stack: scaling factor, border color, kite color, dart color - 50 dict begin - /Scale ED - Scale dup scale - /border_colour ED - /kite_colour ED - /dart_colour ED - clip - newpath - gsave - 100 100 translate - 6 - Scale 1 lt { 1 Scale dup add div mul cvi } if %%%% Number of iterations - 10 %%%% Long side length in millimeters - /border_width { L 0.06 mul }def %%%% Choose the scalefactor for the borders - /L exch 25.4 div 72 mul def %%%% Conversion: mm -> inches -> points - /f{-1 5 sqrt add 2 div}bind def %%%% The reciprocal of the golden ratio - /l{L f mul}bind def %%%% Short side length l = L*f - /Ll{L l add}bind def %%%% Ll = L + l - /c{36 cos L mul}bind def %%%% c = L*cos(36) - /s{36 sin L mul}bind def %%%% s = L*sin(36) - /draw_tile { 0 0 moveto c s lineto 0 lineto gsave closepath gsave fill grestore - 0 setlinewidth stroke grestore border_colour stroke } bind def - /half_kite { dup dup 0 gt{ 1 sub gsave f f neg scale -36 rotate half_dart - Ll 0 translate 144 rotate kite grestore } - { kite_colour L draw_tile }ifelse - pop } bind def - /half_dart { dup dup 0 gt{ 1 sub gsave f f scale half_kite - -144 rotate Ll neg 0 translate half_dart grestore } - { dart_colour l draw_tile }ifelse - pop } bind def - /kite{ gsave half_kite 1 -1 scale half_kite grestore }bind def - border_width setlinewidth 1 setlinejoin 1 setlinecap -% 450 0 translate - dup f exch neg exp dup scale - 5 {kite 72 rotate } repeat stroke - grestore - end % userdict -} def -% -% -/TruchetFill { % on stack: scaling factor - 10 dict begin - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /ma a neg def - /ha a 2 div def - /mha ha neg def - /tile { - rand dup 2 idiv 2 mul eq { 90 rotate } if - mha mha moveto ha mha lineto - ha ha lineto mha ha lineto -% closepath .1 setlinewidth stroke - contents - } def - /contents{ - 0 ha moveto ha 0 lineto - 0 mha moveto mha 0 lineto -% 1 setlinewidth stroke - } def - /dotiling { - f ma mul a f a mul { - /i exch def - f ma mul a f a mul { - /j exch def - gsave i j translate - tile stroke grestore - } for - } for - } def -% - /f 3 def - 5 srand dotiling - end % local user dict -} def -% -/BeginArrow { - ADict begin % hold it local, for end see EndArrow - /@mtrx CM def - gsave - 2 copy T - 2 index sub neg exch - 3 index sub exch Atan - rotate newpath -} def -% -/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict -% -/Arrow { - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /a ED - { 0 h T 1 -1 scale } if - w neg h moveto - 0 0 L w h L w neg a neg rlineto - gsave fill grestore -} def -% -/ArrowD { % the sides are drawn as curves (hv 20071211) - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /Inset ED - { 0 h T 1 -1 scale } if % changes the direction -% we use y=w/h^2 * x^2 as equation for the control points -% for the coordinates the arrow is seen from top to bottom -% the bottom (tip) is (0;0) - w neg h moveto % lower left of > - w 9 div 4 mul neg h 3 div 2 mul - w 9 div neg h 3 div - 0 0 curveto % tip of > - w 9 div h 3 div - w 9 div 4 mul h 3 div 2 mul - w h curveto % upper left of > - w neg Inset neg rlineto % move to x=0 and inset - gsave fill grestore -} def -% -/ArrowT { % like tikz - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /Inset ED - { 0 h T 1 -1 scale } if % changes the direction - w 2 mul /w exch def - w neg h moveto % lower left of > - w 9 div 4 mul neg h 3 div 2 mul - w 9 div neg h 3 div - 0 0 curveto % tip of > - w 9 div h 3 div - w 9 div 4 mul h 3 div 2 mul - w h curveto % upper left of > -% w neg Inset neg rlineto % move to x=0 and inset -% CLW SLW -% 1 0 0 setrgbcolor - 2 setlinejoin - stroke - 0 0 moveto -} def -% -/Tbar { - CLW mul add /z ED - z -2 div CLW 2 div moveto - z 0 rlineto stroke - 0 CLW moveto -} def -% -/Bracket { - CLW mul add dup CLW sub 2 div - /x ED mul CLW add /y ED /z CLW 2 div def - x neg y moveto - x neg CLW 2 div L x CLW 2 div L x y L stroke - 0 CLW moveto -} def -% -/RoundBracket { - CLW mul add dup 2 div - /x ED mul /y ED /mtrx CM def - 0 CLW 2 div T x y mul 0 ne { x y scale } if - 1 1 moveto - .85 .5 .35 0 0 0 curveto - -.35 0 -.85 .5 -1 1 curveto - mtrx setmatrix stroke 0 CLW moveto -} def -% -/SD { 0 360 arc fill } def -% -/EndDot { % DS is the dot size - { /z DS def } { /z 0 def } ifelse % outer or inner dimen - /b ED % the color definition - 0 z DS SD - b { 0 z DS CLW sub SD } if - 0 DS z add CLW 4 div sub - moveto -} def -% -/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { - /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto - load } if ] cvx newpath 3 1 roll T exec } def -% -/NArray { % holds the coordinates and on top of stack the showpoints boolean - /showpoints ED - counttomark 2 div dup cvi /n ED % n 2 div on stack - n eq not { exch pop } if % even numbers of points? delete one - ] aload /Points ED - showpoints not { Points aload pop } if -% { ] aload /Points ED } -% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol -} def -% -/Line { - NArray n 0 eq not - { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def - n { Lineto } repeat - CP 4 2 roll ArrowB L pop pop - } if -} def -% -/LineToYAxis { - /Ox ED % Save the x origin value - NArray % all x-y pairs on stack - n { 2 copy moveto % go to current point - Ox exch Lineto % line to y-axis - pop % delete old x-value - } repeat -} def -% -/LineToXAxis{ - /Oy ED % Save the y origin value - NArray % all x-y pairs on stack - n 0 eq not - { n 1 eq { 0 0 /n 2 def } if - ArrowA - /n n 2 sub def - CP 2 copy moveto pop Oy Lineto - n { 2 copy moveto pop Oy Lineto } repeat - CP - 4 2 roll - ArrowB - 2 copy moveto pop Oy - L - pop pop } if -} def -% -/Arcto { - /a [ 6 -2 roll ] cvx def - a r - /arcto load stopped { 5 } { 4 } ifelse { pop } repeat - a -} def -% -/CheckClosed { - dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq - and { pop pop /n n 1 sub def } if -} def -% -/Polygon { - NArray n 2 eq { 0 0 /n 3 def } if - n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - n 2 mul -2 roll - /y0 ED /x0 ED /y1 ED /x1 ED - x1 y1 - /x1 x0 x1 add 2 div def - /y1 y0 y1 add 2 div def - x1 y1 moveto - /n n 2 sub def - n { Lineto } repeat - x1 y1 x0 y0 6 4 roll Lineto - Lineto pop pop closepath } ifelse -} def -% -/SymbolPolygon { % on stack [ x y x y ... - counttomark % number of elements - 2 add /m ED - 2 copy m 2 roll % copy last two - m 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - /nSym XYLength SymStep Div cvi def - /Shift Symbol stringwidth pop 2 Div def - /deltaX XLength nSym Div def - /deltaY YLength nSym Div def - XA Shift sub YA Shift sub moveto - nSym { - gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - grestore - deltaX deltaY rmoveto - } repeat -% XB Shift sub YB Shift sub moveto Symbol show - /YA YB def /XA XB def - } repeat - pop % delete the mark symbol -} def -% -/Diamond { - /mtrx CM def - T rotate - /h ED - /w ED - dup 0 eq { pop } { CLW mul neg - /d ED - /a w h Atan def - /h d a sin Div h add def - /w d a cos Div w add def } ifelse - mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div - /ArrowA { moveto } def - /ArrowB { } def - false Line - closepath mtrx setmatrix } def -% -/Triangle { - /mtrx CM def - translate - rotate /h ED 2 div /w ED - dup CLW mul /d ED - /h h d w h Atan sin Div sub def - /w w d h w Atan 2 div dup cos exch sin Div mul sub def - mark - 0 d w neg d 0 h w d 0 d - /ArrowA { moveto } def - /ArrowB { } def - false - Line - closepath - mtrx -% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) -% setmatrix } def - setmatrix pop -} def -% DG/SR modification end -% -/CCA { - /y ED /x ED - 2 copy y sub /dy1 ED - x sub /dx1 ED - /l1 dx1 dy1 Pyth def -} def -% -/CC { - /l0 l1 def - /x1 x dx sub def - /y1 y dy sub def - /dx0 dx1 def - /dy0 dy1 def - CCA - /dx dx0 l1 c exp mul dx1 l0 c exp mul add def - /dy dy0 l1 c exp mul dy1 l0 c exp mul add def - /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def - /x2 x l0 dx mul m mul sub def - /y2 y l0 dy mul m mul sub def - /dx l1 dx mul m mul neg def - /dy l1 dy mul m mul neg def -} def -% -/IC { - /c c 1 add def - c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse - /a a 2 mul 3 div 45 cos b exp div def - CCA - /dx 0 def - /dy 0 def -} def -% -/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def -/NC { CC x1 y1 x2 y2 x y curveto } def -/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def -/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def -/NAC { x2 y2 x y curveto CC x1 y1 } def -/EAC { x2 y2 x y ArrowB curveto pop pop } def -% -/OpenCurve { -% 5 dict begin - NArray n 3 lt - { n { pop pop } repeat } - { BOC /n n 3 sub def n { NC } repeat EOC } ifelse -% end -} def -% -/CurvePath { - %% for negative SymStep we calculate the distance - SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if - 0.5 setflat - flattenpath /z 0 def /z0 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def - x1 Shift sub y1 Shift sub moveto - gsave - curveticks - { x1 y1 translate startAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { startAngle rotate Symbol show } - ifelse - grestore /z0 z def } - { /y ED /x ED PathLength@ z z0 sub SymStep ge { - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore /z0 z def } if - /yOld y def /xOld x def } - {} %% the lineto part - { /y y2 def /x x2 def PathLength@ - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - x Shift sub y Shift sub moveto - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - } - pathforall -% curveticks -% { gsave -% x y translate rotAngle rotate -% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto -% SymbolLinewidth setlinewidth stroke grestore -% } if - z -} def -% -/OpenSymbolCurve { - OpenCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/AltCurve { - { false NArray n 2 mul 2 roll - [ n 2 mul 3 sub 1 roll ] aload - /Points ED - n 2 mul -2 roll } - { false NArray } ifelse - n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse -} def -% -/AltOpenSymbolCurve { - AltCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedCurve { - NArray n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - 6 copy n 2 mul 6 add 6 roll - IC CC x y moveto n { NC } repeat - closepath pop pop - } ifelse -} def -% -/ClosedSymbolCurve { - ClosedCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/CalcBezierSpline {% Christoph Bersch - 10 dict begin - /getX { Points exch 2 mul get } def - /getY { Points exch 2 mul 1 add get } def - /n Points length 1 sub 2 idiv def - /GetFirstControlPoints { - /x n array def - /tmp n array def - /b 2 def - x 0 rhs 0 get b div put - 1 1 n 1 sub { - /i exch def - tmp i 1 b div dup 4 1 roll put - i n 1 sub lt { 4 }{ 3.5 } ifelse exch sub /b exch def - x i rhs i get x i 1 sub get sub b div put - } for - 1 1 n 1 sub { - n exch sub - dup dup x exch 1 sub 2 copy 6 2 roll - get 3 1 roll tmp exch get - exch x exch get mul sub - put - } for - x - } def - % - n 1 eq { - 0 getX 2 mul 1 getX add 3 div - 0 getY 2 mul 1 getY add 3 div - exch dup 3 1 roll 2 mul 0 getX sub - exch dup 3 1 roll 2 mul 0 getY sub - [ 0 getX 0 getY 7 3 roll 1 getX 1 getY ] /outPoints exch def - } { - /outPoints 6 n mul 2 add array def - 0 1 n { - dup dup 6 mul dup 1 add - outPoints exch 5 -1 roll getY put - outPoints exch 3 -1 roll getX put - } for - /rhs n array def - 1 1 n 2 sub { - rhs exch dup dup getX 4 mul exch 1 add getX 2 mul add put - } for - rhs 0 0 getX 1 getX 2 mul add put - rhs n 1 sub dup getX 8 mul n getX add 2 div put - GetFirstControlPoints - 1 1 n 2 sub { - rhs exch dup dup getY 4 mul exch 1 add getY 2 mul add put - } for - rhs 0 0 getY 1 getY 2 mul add put - rhs n 1 sub dup getY 8 mul n getY add 2 div put - GetFirstControlPoints - 0 1 n 1 sub { - /i exch def - 2 copy - i get outPoints 6 i mul 3 add 3 -1 roll put - i get outPoints 6 i mul 2 add 3 -1 roll put - 2 copy - i n 1 sub lt { - i 1 add get i 1 add getY 2 mul exch sub outPoints 6 i mul 5 add 3 -1 roll put - i 1 add get i 1 add getX 2 mul exch sub outPoints 6 i mul 4 add 3 -1 roll put - }{ - n 1 sub get n getY add 2 div outPoints 6 n 1 sub mul 5 add 3 -1 roll put - n 1 sub get n getX add 2 div outPoints 6 n 1 sub mul 4 add 3 -1 roll put - } ifelse - } for - pop pop - } ifelse - outPoints - end -} def -/Spline { - /showpoints ED - counttomark 2 div dup cvi /n ED - n eq not { exch pop } if - ] /Points ED - n 1 gt { - CalcBezierSpline - mark exch aload pop - ArrowA - n 2 sub { - 6 2 roll 4 2 roll curveto - } repeat - 6 2 roll 4 2 roll ArrowB curveto - } if -} def -/OpenSymbolSpline { - Spline - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def -/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def -/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def -% -/FontDot { - DS 2 mul dup - matrix scale matrix concatmatrix exch matrix - rotate matrix concatmatrix exch - findfont exch makefont setfont -} def -% -/Rect { - x1 y1 y2 add 2 div moveto -% x1 y2 lineto -% x2 y2 lineto -% x2 y1 lineto -% x1 y1 lineto - x1 y1 lineto % counter clockwise path - x2 y1 lineto - x2 y2 lineto - x1 y2 lineto - closepath -} def -% -/OvalFrame { - x1 x2 eq y1 y2 eq or - { pop pop x1 y1 moveto x2 y2 L } - { y1 y2 sub abs x1 x2 sub abs 2 copy gt - { exch pop } { pop } ifelse - 2 div exch { dup 3 1 roll mul exch } if - 2 copy lt { pop } { exch pop } ifelse - /b ED - x1 y1 y2 add 2 div moveto - x1 y2 x2 y2 b arcto - x2 y2 x2 y1 b arcto - x2 y1 x1 y1 b arcto - x1 y1 x1 y2 b arcto - 16 { pop } repeat - closepath - } ifelse -} def -% -/Frame { - CLW mul /a ED - 3 -1 roll - 2 copy gt { exch } if - a sub /y2 ED - a add /y1 ED - 2 copy gt { exch } if - a sub /x2 ED - a add /x1 ED - 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse -} def -% -/BezierNArray { - /f ED - counttomark 2 div dup cvi /n ED - n eq not { exch pop } if - n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat - f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse -} def -% -/OpenBezier { - BezierNArray - n 1 eq - { pop pop } - { ArrowA n 4 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - 6 2 roll 4 2 roll ArrowB curveto } ifelse -} def -% -/OpenSymbolBezier { - OpenBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedBezier { - BezierNArray - n 1 eq - { pop pop } - { moveto n 1 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - closepath } ifelse -} def -% -/ClosedSymbolBezier { - /f ED % save showpoints value - 2 copy /yEnd ED /xEnd ED - counttomark -2 roll 2 copy /yStart ED /xStart ED - counttomark 2 roll - f - ClosedBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath - [ xEnd yEnd xStart yStart SymbolLine -} def -% -/BezierShowPoints { - gsave - Points aload length 2 div cvi /n ED - moveto - n 1 sub { lineto } repeat - CLW 2 div SLW [ 4 4 ] 0 setdash stroke - grestore -} def -% -/Parab { - /y0 ED /x0 ED /y1 ED /x1 ED - /dx x0 x1 sub 3 div def - /dy y0 y1 sub 3 div def - x0 dx sub y0 dy add x1 y1 ArrowA - x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def -} def -% -/Parab1 { % 1 end | 0 SP - /ySP ED /xSP ED /y1 ED /x1 ED - /dx xSP x1 sub 3 div def - /dy ySP y1 sub 3 div def - newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto - x1 ySP lineto closepath clip - currentpoint - newpath moveto - xSP dx sub ySP dy add x1 y1 ArrowA - xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def -} def -% -/Grid { - 40 dict begin - newpath - /a 4 string def - /b ED % psk@gridlabels in pt - /c ED % { \pst@usecolor\psgridlabelcolor } - /n ED % psk@griddots - cvi dup 1 lt { pop 1 } if - /s ED % \psk@subgriddiv - s div dup 0 eq { pop 1 } if - /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs - /dx ED dy div round dy mul % \pst@number\psxunit abs - /y0 ED dx div round dx mul - /x0 ED dy div round cvi - /y2 ED dx div round cvi - /x2 ED dy div round cvi - /y1 ED dx div round cvi - /x1 ED - /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def - /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def - b 0 gt { - /z1 b 4 div CLW 2 div add def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Helvetica findfont b scalefont setfont -% is set in pstricks.tex -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% /NimbusSanL-Regu findfont b scalefont setfont - /b b .95 mul CLW 2 div add def } if - systemdict /setstrokeadjust known - { true setstrokeadjust /t { } def } - { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add - exch itransform } bind def } ifelse - gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse - /i x1 def - /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def - /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def - x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if - dup % run loop two times: lines and labels - { i dx mul dup xGridOffset add y0 moveto % draw the lines - dup t f moveto - g t L stroke - /i i w add def - } repeat - /i x1 def - GridDX div ceiling cvi - { i dx mul GridDX mul dup xGridOffset add y0 moveto % plot the labels - b 0 gt - { gsave c i GridDX mul a cvs dup stringwidth pop /z2 ED - w 0 gt {z1} {z1 z2 add neg} ifelse - h 0 gt {b neg}{z1} ifelse exch GridDX div z2 2 div sub exch - rmoveto show grestore } if - /i i w add def - } repeat - grestore - gsave - n 0 gt - { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } - { 2 setlinecap } ifelse - /i y1 def - /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def - /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def - y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if - dup % run loop two times: lines and labels - { newpath i dy mul dup yGridOffset add x0 exch moveto - dup f exch t moveto - g exch t L stroke - /i i h add def - } repeat - /i y1 def - GridDY div ceiling cvi - { newpath i dy mul GridDY mul dup yGridOffset add x0 exch moveto - b 0 gt { gsave c i GridDY mul a cvs dup stringwidth pop - /z2 ED - w 0 gt {z1 z2 add neg} {z1} ifelse - h 0 gt {z1} {b neg} ifelse GridDY div b 2 div sub - rmoveto show grestore } if - /i i h add def - } repeat - grestore - end -} def -% -/ArcArrow { - /d ED /b ED /a ED - gsave - newpath 0 -1000 moveto clip - newpath - 0 1 0 0 b - grestore - c mul - /e ED - pop pop pop r a e d PtoC y add exch x add - exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c - mul neg d -} def -% -% -/isbool { type (booleantype) cvn eq } def -% -/Ellipse { - dup isbool { /MoveToStart ED }{ /MoveToStart false def }ifelse % false or true - /rotAngle ED - /mtrx CM def - T - rotAngle rotate - scale - MoveToStart { 0 0 moveto 1 0 rmoveto } if % move to the start position - 0 0 1 5 3 roll arc - mtrx setmatrix -} def -% -/ArcAdjust { %%%% Vincent Guirardel -% given a target length (targetLength) and an initial angle (angle0) [in the stack], -% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). -% This computes an angle t such that (x0,y0) is at distance -% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). -% NOTE: this an absolute angle, it does not have to be added or substracted to angle0 -% contrary to TvZ's code. -% To achieve, this, one iterates the following process: start with some angle t, -% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. -% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. -% -% Another difference with TvZ's code is that we need d (=add/sub) to be defined. -% the value of d = add/sub is used to know on which side we have to move. -% It is only used in the initialisation of the angle before the iteration. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Input stack: 1: target length 2: initial angle -% variables used : rx, ry, d (=add/sub) -% - /targetLength ED /angle0 ED - /x0 rx angle0 cos mul def - /y0 ry angle0 sin mul def -% we are looking for an angle t such that (x0,y0) is at distance targetLength -% from the point M(t)=(rx*cos(t),ry*sin(t))) -%initialisation of angle (using 1st order approx = TvZ's code) - targetLength 57.2958 mul - angle0 sin rx mul dup mul - angle0 cos ry mul dup mul - add sqrt div -% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees -% (if the ellipse is very curved at the point where we draw the arrow, % -% the value can be much more than 360 degrees !) -% this should avoid going on the wrong side (more than 180 degrees) or go near - dup 90 ge { pop 90 } if - angle0 exch d % add or sub -% maximum number of times to iterate the iterative procedure: -% iterative procedure: takes an angle t on top of stack, computes a -% better angle (and put it on top of stack) - 30 { dup -% compute distance D between (x0,y0) and M(t) - dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt -% if D almost equals targetLength, we stop - dup targetLength sub abs 1e-5 le { pop exit } if -% stack now contains D t -% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: -% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) - exch dup cos rx mul x0 sub exch sin ry mul y0 sub -% stack contains: y(t)-y0, x(t)-x0, d - 2 index Div targetLength mul y0 add ry Div exch - 2 index Div targetLength mul x0 add rx Div -% stack contains x(t')/rx , y(t')/ry , d -% now compute t', and remove D from stack - atan exch pop - } repeat -% we don't look at what happened... in particular, if targetLength is greater -% than the diameter of the ellipse... -% the final angle will be around /angle0 + 180. maybe we should treat this pathological case... -% after iteration, stack contains an angle t such that M(t) is the tail of the arrow -% to give back the result as a an angle relative to angle0 we could add the following line: -% angle0 sub 0 exch d -% -% begin bug fix 2006-01-11 -% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 -%(we don't want to make the ellipse turn more or less than it should)... -dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse -% end bug fix -} def -% -/EllipticArcArrow { - /d ED % is add or sub - /b ED % arrow procedure - /a1 ED % angle - gsave - newpath - 0 -1000 moveto - clip % Set clippath far from arrow. - newpath - 0 1 0 0 b % Draw arrow to determine length. - grestore -% Length of arrow is on top of stack. Next 3 numbers are junk. -% - a1 exch ArcAdjust % Angular position of base of arrow. - /a2 ED - pop pop pop - a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig - a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig - a1 cos rx mul xOrig add % - a1 sin ry mul yOrig add % -% Now arrow tip coor and base coor are on stack. - b pop pop pop pop % Draw arrow, and discard coordinates. - a2 CLW 8 div -% change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse - ArcAdjust -% resets original value of d - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. -} def -%%------------------ tvz/DG/hv (2004-05-10) end -------------------%% -% -/Rot { CP CP translate 3 -1 roll neg rotate NET } def -% -/RotBegin { - tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if - /TMatrix [ TMatrix CM ] cvx def - /RotAngle ED - RotAngle Rot /RAngle [ RAngle dup RotAngle add ] cvx def -} def -% -/RotEnd { - /TMatrix [ TMatrix setmatrix ] cvx def - /RAngle [ RAngle pop ] cvx def -} def -% -/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def -/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def -/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def -% -/Uput { - /a ED - add 2 div /h ED 2 - div /w ED - /s a sin def - /c a cos def - /b s abs c abs 2 copy gt dup - /q ED - { pop } { exch pop } ifelse def - /w1 c b div w mul def - /h1 s b div h mul def - q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse -} def -% -/UUput { - 5 dict begin - /z ED - abs /y ED - /x ED - q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse - { x x mul y y mul sub z z mul add sqrt z add } - { q { x s div } { x c div } ifelse abs - } ifelse - a PtoC - h1 add exch - w1 add exch - end -} def -% -end -%-----------------------------------------------------------------------------% -% -% END pstricks.pro -%%EndProcSet -%%BeginProcSet: pst-algparser.pro 0 0 -% $Id: pst-algparser.pro 4 2020-06-09 08:32:19Z herbert $ -%% -%% PostScript prologue for PSTricks algorithm parser -%% Version 0.07, 2014/08/01 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%%-----------------------------------------------------------------------------% -% -%currentdict /Pi known not { /Pi 3.14159265359 def } if -% -/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez -/I2P { AlgParser cvx exec } def % Infix to Postfix -% -/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin -% -% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13 -% -% 09/2011 DR factorial with ! added -% -% E->T|E+T -% T->FS|T*FS -% FS -> F | +FS | -FS -% F->P|F^SF|P! -% P->(E)|literal -% literal->number|var|var[E]|func(params) -% params->E|E,param -% number->TOBEFINISHED -% -%% E expression, T term, SF signed factor, F factor, P power -% -%% parser -% -%% str -% -%% C->EE -%% STR index -> STR index+lenExpr -/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def -% -%% analyze Expression List (separator , or | ) -%% STR index -> STR index+lenExpr -%% /AnalyzeListOfE { -%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar -%% NextNonBlankChar dup 0 eq { pop exit } if -%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if -%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop -%% AnalyzeListOfEPostHook -%% } def -/AnalyzeListOfE { - /NotFirst false def - { NextNonBlankChar pop AnalyzeExpr - NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse - dup Strlen eq { exit } if NextNonBlankChar - dup 44 ne 1 index 124 ne and - { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } - if pop 1 add } loop - AnalyzeListOfEPostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% E->T|E+T -%% STR index -> STR index+lenExpr -/AnalyzeExpr { - AnalyzePreHook AnalyzeTerm IsEndingExpr - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% T->FS|T*FS -%% STR index -/AnalyzeTerm { - AnalyzePreHook AnalyzeSignedFactor IsEndingTerm - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FS -> F | +FS | -FS -%% STR index -/AnalyzeSignedFactor { - AnalyzePreHook 2 copy get dup IsUnaryOp - { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } - { pop AnalyzeFactor } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% F->P|F^P|P! -%% STR index -/AnalyzeFactor { - AnalyzePreHook AnalyzePower IsEndingFactor - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { dup 33 eq%% is there a ! DR 09/2011 - { pop 1 add NextNonBlankChar pop EvalFactorial } - { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower } - ifelse - IsEndingFactor { pop exit } if } loop } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% P->(E)|literal -%% STR index -/AnalyzePower { - %% depending of first char either a number, or a literal - 2 copy get dup 40 eq%%an open par - { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } - { AnalyzeLiteral } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index STR[index] -> STR index -%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def -/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% recognize + or - -%% chr -> T/F -/IsUnaryOp { dup 43 eq exch 45 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadNumber { - exch dup 3 -1 roll dup 3 1 roll - %%read mantissa - { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop - dup 101 eq exch 69 eq or - %%% there is a "e" or "E" -> read exponant - { 1 add 2 copy get dup IsUnaryOp - { pop 1 add 2 copy get } if - { IsNumber not { exit } if 1 add 2 copy get } loop } - if - dup 4 1 roll - 3 -1 roll exch 1 index sub getinterval -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadCondOp { - NextNonBlankChar 1 index 4 1 roll - { IsCondOp not { exit } if 1 add 2 copy get } loop - 2 copy 5 -1 roll - exch 1 index sub getinterval 3 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can contain only : 0123456789. -%% chr -> T/F -/IsLiteral {% - dup 48 ge exch dup 57 le 3 -1 roll and exch - dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch - dup 97 ge exch 122 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? -%% STR index -> literal STR index' nextchr -/ReadLiteral { - exch dup 3 -1 roll dup 3 1 roll - %%read literal core - { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop - 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a clpar -%% STR index -> STR index STR[index] T/F -/IsEndingExpr {% - 2 copy dup Strlen eq - %% if end of str is reached -> end ! - { pop pop 0 true } - %% ending chr -> clpar, comma, |, <, >, =, !, - {get dup dup 41 eq - exch dup 124 eq - exch dup 93 eq - exch dup 44 eq - exch dup 30 eq - exch dup 60 ge exch 62 le and or or or or or} - ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a +- -%% STR index -> STR index STR[index] T/F -/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or */ -%% STR index -> STR index STR[index] T/F -/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or ^ -%% STR index -> STR index STR[index] T/F -/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index STR[index] -/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def -/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def -%%%%%%%%%%%%%%%%%%%%%%%% -%% DEBUG -/BRK {false} def -/BRKtrue {/BRK true def} def -/BRKStop {BRK {BRKtoto} if } def -/BRKEvalStop {BRK exch if } def -/BRKBRK2true {BRK {BRK2true} if } def -/BRK2 {false} def -/BRK2true {/BRK2 true def} def -/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def -end -% -%-------------------------------------------------------------------------------% -% -/tx@AlgToPs 12 dict def tx@AlgToPs begin -% -%% algExpr -> PSVector -/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def -/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def -/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def -/Strlen 0 def -/EvalListOfExpr {} def% -/EvalNumber {% - ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx - exch 1 add array astore def NextNonBlankChar pop } def -/EvalAddSub {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def -} def -/EvalMulDiv {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def -} def -/EvalPower {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - pop /exp cvx exch 1 add array astore def -} def -/EvalFactorial {% DR 09/2011 - /ExpressionVector ExpressionVector aload length - /fact cvx exch 1 add array astore def -} def -/EvalLiteral {% - ReadLiteral - dup 40 eq%%% there is an open par -> function call - { pop 2 index - dup (Sum) eq { EvalSum } - { dup (IfTE) eq { EvalCond } - { dup (Derive) eq { pop EvalDerive } - { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx - exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } - { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def - dup 91 eq%%% there is an open bracket -> vector element - { pop 1 add NextNonBlankChar pop AnalyzeExpr - /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } - { pop NextNonBlankChar pop } - ifelse} - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% the derive function : Derive(n,f(x)) -%% firstparindex lastparindex -> -/EvalDerive { - %% manage the function descripiton - 1 add ReadNumber 3 1 roll NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - 1 add NextNonBlankChar pop - 3 -1 roll cvi - dup 0 eq - { pop AnalyzeExpr 3 -1 roll pop 1 add } - { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll - { (x) tx@Derive begin Derive end } repeat - ExpressionVector exch /ExpressionVector [] def - AlgToPs aload length - /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def - l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add - 1 index length /Strlen exch def } ifelse -} def -/EvalSum {% - pop 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll - 5 -1 roll 4 add array astore def - %% keep ExpressionVector for later and create a new one for internal Sum computation - ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def - 1 add NextNonBlankChar pop AnalyzeExpr - %% add each term - /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def - /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add - array astore def 3 -1 roll pop 1 add -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length 3.1415926 /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -/EvalCond {% - pop 1 add AnalyzeCond NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - ExpressionVector 3 1 roll /ExpressionVector [] def - 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def - NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add AnalyzeExpr - NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if - ExpressionVector - /ExpressionVector 6 -1 roll aload length dup - 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def - 1 add 3 -1 roll pop -} def -%% CondOp STR index -/EvalCondOp {% - 3 -1 roll - dup (=) eq { /eq } {% - dup (<) eq { /lt } {% - dup (>) eq { /gt } {% - dup (>=) eq { /ge } {% - dup (<=) eq { /ge } {% - dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } - ifelse } ifelse } ifelse } ifelse } ifelse } ifelse - cvx exch pop - /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def -/EvalUnaryOp { - 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook {} bind def -/PreEvalHook {} bind def -/AnalyzeListOfEPostHook {} bind def -/AnalyzePostHook {} def -/RollOp { 3 1 roll } bind def -end %tx@CoreAnalyzerDict -% -%--------------------------------------------------------------------% -% -/tx@Derive 41 dict def tx@Derive begin -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable -> PSVector -/Derive { - 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end -} def -/Strlen 0 def -/InitParser { dup length /Strlen exch def 0 } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable index -> PSVector -/DeriveIndexed {% - 3 1 roll 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u,v)'=-(u',v') -/EvalListOfExpr {% - 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe - 2 copy 7 -1 roll dup length 4 1 roll putinterval add - 6 -2 roll pop pop - 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (-u)'=-(u') -/EvalUnaryOp { - 4 -2 roll 4 index (0) eq - { (0) StrConcat 7 -1 roll pop } - { 7 -1 roll 45 eq - { AddSub AddOpPar true } { false } ifelse - 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (number)'=0 -/EvalNumber { ReadNumber (0) 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u+v)'=u'+v' -/EvalAddSub {% - 7 index dup (0) eq - { pop true }%% du=0 nothing added - { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } - ifelse - 5 index dup (0) eq - { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 - { exch - { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added - { 5 -2 roll 7 index 43 eq%%something yet added - { AddAdd false } { AddSub AddOpPar true } ifelse } - ifelse 11 1 roll - 3 -1 roll StrConcat 10 -1 roll { AddClPar } if - 2 copy pop 0 6 2 roll GetIntervalNewStr } - ifelse - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)' or (u/v)' -/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)'=u'*v+u*v' -/EvalMul {% - 4 -2 roll 7 index dup (0) eq - { pop false }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if - true }%%du!=0 - ifelse - 5 1 roll 5 index (0) eq - { 5 -1 roll not { (0) StrConcat } if }%%dv=0 - { 5 -1 roll { AddAdd } if - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - }%%dv!=0 - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u/v)'=(u'*v-u*v')/v^2 -/EvalDiv {% - 4 -2 roll - 4 index (0) eq%%dv=0 -> u'/v - { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } - { 7 index dup (0) eq - { pop }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 - ifelse - AddSub - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - %}%%dv!=0 - 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar - AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str1 index str2 -> str1 index -/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def -/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) -/EvalPower {% - 4 -2 roll 7 index (0) eq - {%%if du=0 then (u^v)'=v'ln(u)u^v - 4 index (0) eq - { (0) StrConcat }%%if dv=0 then (u^v)'=0 - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if - 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if - AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse - } - {%%du!=0 - 4 index (0) eq - {%%if dv=0 then (u^v)'=vu'u^(v-1) - 5 index dup IsStrNumber - { dup (0) eq - { StrConcat } - { dup dup (1) eq exch (1.0) eq or - { StrConcat } - { StrConcat - 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 - { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 - (*\() StrConcat 8 index StrConcat (\)) StrConcat - 5 index dup dup (2) eq exch (2.0) eq or - { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } - { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)) StrConcat } ifelse - } - {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) - 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if - AddOpPar 5 index StrConcat (\)*\() StrConcat - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)+\() StrConcat - 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (\)*ln\() StrConcat - 8 index StrConcat AddClPar - } ifelse - } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for factorial ! only cst => null derivative -/EvalFactorial {% DR 09/2011 - 4 index (0) eq - { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll } - { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str -> true/false -/IsStrNumber {% - true exch - { dup 48 lt exch dup 57 gt 3 -1 roll or - exch dup 46 ne%%. - exch dup 43 ne%%+ - exch 45 ne%%- - and and and { pop false } if } forall -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalLiteral {% - ReadLiteral dup 40 eq%%% there is an open par -> function call - { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } - { dup 91 eq%%% there is an open bracket -> vector element - { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented } - { pop EvalVariable } - ifelse } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% first last parpos Expr[first:parpos-1] -> -/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (f(u))'=u'f'(u) -/EvalFunc { - 4 2 roll 4 index (1) ne - { AddOpPar 4 index StrConcat (\)*) StrConcat } if - (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Func derivative -> Eval -/EvalFunc_sin {% - PreCommonFunc - { (cos\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_cos {% - PreCommonFunc - { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_tan {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_asin {% - PreCommonFunc - { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_acos {% - PreCommonFunc - { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_atg {% - PreCommonFunc - { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_floor {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_ln {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_exp {% - PreCommonFunc - { (exp\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_EXP {% - PreCommonFunc - { (EXP\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_sqrt {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Fact {% - PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if - PostCommonFunc } def -/EvalFunc_sh {% - PreCommonFunc - { (ch\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_ch {% - PreCommonFunc - { (sh\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_th {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argsh {% - PreCommonFunc - { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argch {% - PreCommonFunc - { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argth {% - PreCommonFunc - { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -/PreCommonFunc { - 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop - 4 2 roll 4 index (0) eq - { (0) StrConcat false } - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse -} def -/PostCommonFunc { - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -/EvalFunc_Derive {% - 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs - 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add - 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval - exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_Sum {% - 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop 3 -1 roll pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if - 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat - 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_IfTE {% - 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond - NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - 1 add NextNonBlankChar pop dup 5 1 roll - AnalyzeExpr NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add NextNonBlankChar pop - AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat - 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% advance in str until a comma is found (no error detection!) -%% str index -> str index' -/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for condition.... -/EvalCondOp { 3 -1 roll pop } bind def -/PutIntervalOneAdd {putinterval 1 add} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add close parenthesis in string at the given index -%% str index -> str index+1 -/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add 0 in string at the given index -%% str index -> str index+1 -/AddZero {2 copy (0) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddMul {2 copy (*) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddDiv {2 copy (/) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a plus sign in string at the given index -%% str index -> str index+1 -/AddAdd {2 copy (+) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a minus sign in string at the given index -%% str index -> str index+1 -/AddSub {2 copy (-) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a pipe sign in string at the given index -%% str index -> str index+1 -/AddPipe {2 copy (|) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook { dup 5 1 roll } bind def -/PreEvalHook {} def -/AnalyzePostHook { 7 -1 roll pop } bind def -/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def -/RollOp { 5 1 roll } bind def -end%%%tx@CoreAnalyzerDict -/tx@AddMathFunc 12 dict def tx@AddMathFunc begin -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% NEW FUNC -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) -%% x -> theta -/asin {% - dup abs 1 gt { EQDFasinrangeerror } if - dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad -} def -%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) -%% x -> theta -/acos {% - dup abs 1 gt { EQDFacosrangeerror } if - dup dup mul 1 exch sub sqrt exch atan DegtoRad -} def -%% function arctangent in radians -%% x -> theta -/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def -%% HYPERBOLIC FUNCTIONS -/sh { dup Ex exch neg Ex sub 2 div } def -/ch { dup Ex exch neg Ex add 2 div } def -/th { dup sh exch ch div } def -/Argsh { dup dup mul 1 add sqrt add ln } def -/Argch { dup dup mul 1 sub sqrt add ln } def -/Argth { dup 1 add exch 1 exch sub div ln 2 div } def -%% modified exponential funtion for 0 -%% x n -> x^n -/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def -%% modified exponential funtion for 0 -%% x -> e^x -/Ex { Euler exch exp } bind def -%% -%% factorial function -%% n -> n! -/Fact { 1 exch 2 exch 1 exch { mul } for } bind def -/fact { Fact } bind def -/! { Fact } bind def -end -% -% END pst-algparser.pro -%%EndProcSet -%%BeginProcSet: pst-tools.pro 0 0 -% $Id: pst-tools.pro 249 2021-09-14 10:22:55Z herbert $ -% -%% PostScript tools prologue for pstricks.tex. -%% Version 0.06, 2017/12/03 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -% -/Pi2 1.57079632679489661925640 def -/factorial { % n on stack, returns n! - dup 0 eq { 1 }{ - dup 1 gt { dup 1 sub factorial mul } if } - ifelse } def -% -/MoverN { % m n on stack, returns the binomial coefficient m over n - 2 dict begin - /n exch def /m exch def - n 0 eq { 1 }{ - m n eq { 1 }{ - m factorial n factorial m n sub factorial mul div } ifelse } ifelse - end -} def -% -/ps@ReverseOrderOfPoints { % on stack [P1 P2 P3 ...Pn]=>[Pn,Pn-1,...,P2,P1] - 5 dict begin % all local - aload length /n ED % number of coors - n 2 div cvi /m ED % number of Points - /n1 n def - m { n1 2 roll /n1 n1 2 sub def } repeat - n array astore - end -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% subroutines for complex numbers, given as an array [a b] -% which is a+bi = Real+i Imag -% -/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2] - dup 0 get % [a1 b1] [a2 b2] a2 - 3 -1 roll % [a2 b2] a2 [a1 b1] - dup 0 get % [a2 b2] a2 [a1 b1] a1 - 3 -1 roll % [a2 b2] [a1 b1] a1 a2 - add % [a2 b2] [a1 b1] a1+a2 - 3 1 roll % a1+a2 [a2 b2] [a1 b1] - 1 get % a1+a2 [a2 b2] b1 - exch 1 get % a1+a2 b1 b2 - add 2 array astore -} def -% -/cxneg { % [a b] - dup 1 get % [a b] b - exch 0 get % b a - neg exch neg % -a -b - 2 array astore -} def -% -/cxsub { cxneg cxadd } def % same as negative addition -% -% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3] -/cxmul { % [a1 b1] [a2 b2] - dup 0 get % [a1 b1] [a2 b2] a2 - exch 1 get % [a1 b1] a2 b2 - 3 -1 roll % a2 b2 [a1 b1] - dup 0 get % a2 b2 [a1 b1] a1 - exch 1 get % a2 b2 a1 b1 - dup % a2 b2 a1 b1 b1 - 5 -1 roll dup % b2 a1 b1 b1 a2 a2 - 3 1 roll mul % b2 a1 b1 a2 b1a2 - 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1 - 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2 - 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2 - 4 -1 roll add % b1 a2 a1 b2 b3 - 4 2 roll mul % b1 b2 b3 a1a2 - 4 2 roll mul sub % b3 a3 - exch 2 array astore -} def -% -% [a b]^2 = [a^2-b^2 2ab] = [a2 b2] -/cxsqr { % [a b] square root - dup 0 get exch 1 get % a b - dup dup mul % a b b^2 - 3 -1 roll % b b^2 a - dup dup mul % b b^2 a a^2 - 3 -1 roll sub % b a a2 - 3 1 roll mul 2 mul % a2 b2 - 2 array astore -} def -% -/cxsqrt { % [a b] -% dup cxnorm sqrt /r exch def -% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 - cxlog % log[a b] - 2 cxrdiv % log[a b]/2 - aload pop exch % b a - 2.781 exch exp % b exp(a) - exch cxconv exch % [Re +iIm] exp(a) - cxrmul % -} def -% -/cxarg { % [a b] - aload pop % a b - exch atan % arctan b/a - DegtoRad % arg(z)=atan(b/a) -} def -% -% log[a b] = [a^2-b^2 2ab] = [a2 b2] -/cxlog { % [a b] - dup % [a b][a b] - cxnorm % [a b] |z| - log % [a b] log|z| - exch % log|z|[a b] - cxarg % log|z| Theta - cxmake2 % [log|z| Theta] -} def -% -% square of magnitude of complex number -/cxnorm2 { % [a b] - dup 0 get exch 1 get % a b - dup mul % a b^2 - exch dup mul add % a^2+b^2 -} def -% -/cxnorm { % [a b] - cxnorm2 sqrt -} def -% -/cxconj { % conjugent complex - dup 0 get exch 1 get % a b - neg 2 array astore % [a -b] -} def -% -/cxre { 0 get } def % real value -/cxim { 1 get } def % imag value -% -% 1/[a b] = ([a -b]/(a^2+b^2) -/cxrecip { % [a b] - dup cxnorm2 exch % n2 [a b] - dup 0 get exch 1 get % n2 a b - 3 -1 roll % a b n2 - dup % a b n2 n2 - 4 -1 roll exch div % b n2 a/n2 - 3 1 roll div % a/n2 b/n2 - neg 2 array astore -} def -% -/cxmake1 { 0 2 array astore } def % make a complex number, real given -/cxmake2 { 2 array astore } def % dito, both given -% -/cxdiv { cxrecip cxmul } def -% -% multiplikation by a real number -/cxrmul { % [a b] r - exch aload pop % r a b - 3 -1 roll dup % a b r r - 3 1 roll mul % a r b*r - 3 1 roll mul % b*r a*r - exch 2 array astore % [a*r b*r] -} def -% -% division by a real number -/cxrdiv { % [a b] r - 1 exch div % [a b] 1/r - cxrmul -} def -% -% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian -/cxconv { % theta - RadtoDeg dup sin exch cos cxmake2 -} def -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { % on stack must be an array [ ... ] - 4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a % return the sorted array - end -} def -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/concatstrings{ % (a) (b) -> (ab) - exch dup length - 2 index length add string - dup dup 4 2 roll copy length - 4 -1 roll putinterval -} def -% -/reversestring { % (aBC) -> (CBa) - 5 dict begin - /str exch def - /L str length def - /strTemp L string def - /i 0 def - L { - /I L 1 sub i sub def - strTemp i str I 1 getinterval putinterval - /i i 1 add def - } repeat - strTemp - end -} def -% -/concatarray{ % [a c] [b d] -> [a c b d] - 2 dict begin - /a2 exch def - /a1 exch def - [ a1 aload pop a2 aload pop ] - end -} def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -/rightTrim { % on stack the string and the character number to be stripped - 1 dict begin - /charNo exch def - dup - length 1 sub -1 0 { - /i exch def dup i get charNo ne { exit } if - } for - 0 i 1 add getinterval - dup length string copy - end -} bind def % leaves the stripped string on the stack -/psStringwidth /stringwidth load def -/psShow /show load def -%/stringwidth{ 32 rightTrim psStringwidth } bind def -%/show { 32 rightTrim psShow } bind def -%-----------------------------------------------------------------------------% -/pgffunctions { - /pgfsc{}bind def% stroke color is empty by default - /pgffc{}bind def% fill color is empty by default - /pgfstr{stroke}bind def% - /pgffill{fill}bind def% - /pgfeofill{eofill}bind def% - /pgfe{a dup 0 rlineto exch 0 exch rlineto neg 0 rlineto closepath}bind def% rectangle - /pgfw{setlinewidth}bind def% setlinewidth - /pgfs{save pgfpd 72 Resolution div 72 VResolution div neg scale - magscale{1 DVImag div dup scale}if - pgfx neg pgfy neg translate pgffoa .setopacityalpha}bind def% save - /pgfr{pgfsd restore}bind def %restore - userdict begin% - /pgfo{pgfsd /pgfx currentpoint /pgfy exch def def @beginspecial}bind def %open - /pgfc{newpath @endspecial pgfpd}bind def %close - /pgfsd{globaldict /pgfdelta /delta where {pop delta} {0} ifelse put}bind def% save delta - /pgfpd{/delta globaldict /pgfdelta get def}bind def % put delta - /.setopacityalpha where {pop} {/.setopacityalpha{pop}def} ifelse % install .setopacityalpha - /.pgfsetfillopacityalpha{/pgffoa exch def - /pgffill{gsave pgffoa .setopacityalpha fill 1 .setopacityalpha newpath fill grestore newpath}bind def - /pgfeofill{gsave pgffoa .setopacityalpha eofill 1 .setopacityalpha newpath eofill grestore newpath}bind def}bind def - /.pgfsetstrokeopacityalpha{/pgfsoa exch def /pgfstr{gsave pgfsoa .setopacityalpha stroke grestore newpath}bind def}bind def - /pgffoa 1 def - /pgfsoa 1 def - end -} def -%-----------------------------------------------------------------------------% -% END pst-tools.pro -%%EndProcSet -%%BeginProcSet: pst-dots.pro 0 0 -% $Id: pst-dots.pro 291 2021-10-01 09:22:45Z herbert $ -% -%% PostScript prologue for pstricks.tex. -%% Version 0.02, 2021/10/01 -%% -%% For distribution, see pstricks.tex. -%% -%% Timothy Van Zandt -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%% Modified by Etienne Riga - Dec. 16, 1999 -%% Modified by Etienne Riga - 2005/01/01 (er) -%% to add /Diamond, /SolidDiamond and /BoldDiamond -%% Modified by Herbert Voss (hv) - 2008/04/17 -% -12 dict dup begin -/FontType 1 def -/FontName /PSTricksDotFont def -/FontInfo 9 dict dup begin -/version (001.000) def -/Notice (Timothy Van Zandt -This program can be redistributed and/or modified under the terms -of the LaTeX Project Public License Distributed from CTAN archives -in directory macros/latex/base/lppl.txt. -Modified by Etienne Riga - Dec. 16, 1999 -Modified by Etienne Riga - 2005/01/01 (er) to add /Diamond, /SolidDiamond and 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Problem with pst-eps -> \par -% -% -tx@Dict begin % from main pstricks dict - /T /translate load def - /CP /currentpoint load def -% /startGlobal { true setglobal globaldict begin } bind def -% /endGlobal { end false setglobal } bind def -end -/tx@NodeDict 400 dict def tx@NodeDict begin -/NewNode { % on stack: { x y } boolean N@name type InitXnode - gsave - NodeScale % a bugfix for xelatex, it's empty for dvips - /next exch def % { x y } boolean N@name type - dict dup % { x y } boolean N@name dict dict - 3 1 roll def % { x y } boolean dict N@name dict def - exch { dup 3 1 roll def } if % { x y } dict boolean - begin % { x y } dict begin - tx@Dict begin - STV CP T exec % set scaling - end - /NodeMtrx CM def % save CM - next % InitXNode - end - grestore -} def -% -/InitPnode { - /Y ED /X ED - /NodePos { NodeSep Cos mul NodeSep Sin mul } def -} def -% -/InitCnode { - /r ED /Y ED /X ED - /NodePos { NodeSep r add dup Cos mul exch Sin mul } def -} def -% -/GetRnodePos { - Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse - Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse - dx Sin mul abs dy - Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse -} def -% -/InitRnode { - /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED - /NodePos { GetRnodePos } def -} def -% -/DiaNodePos { - w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup - Cos mul exch Sin mul -} def -% -/TriNodePos { - Sin s lt - { d NodeSep sub dup Cos mul Sin Div exch } - { w h mul w Sin mul h Cos abs mul add Div - NodeSep add dup Cos mul exch Sin mul - } ifelse -} def -% -/InitTriNode { - sub 2 div exch - 2 div exch - 2 copy T - 2 copy 4 index index /d ED - pop pop pop pop - -90 mul rotate - /NodeMtrx CM def - /X 0 def /Y 0 def - d sub abs neg /d ED - d add /h ED - 2 div h mul h d sub Div /w ED - /s d w Atan sin def - /NodePos { TriNodePos } def -} def -% -/OvalNodePos { - /ww w NodeSep add def - /hh h NodeSep add def - Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul -} def -% -/GetCenter { begin X Y NodeMtrx transform CM itransform end } def -% -/XYPos { - dup sin exch cos Do - /Cos ED /Sin ED /Dist ED - Cos 0 gt - { Dist Dist Sin mul Cos div } - { Cos 0 lt - { Dist neg Dist Sin mul Cos div neg } - { 0 Dist Sin mul } ifelse - } ifelse - Do -} def -% -/GetEdge { - dup 0 eq - { pop begin 1 0 NodeMtrx dtransform - CM idtransform - exch atan sub - dup - sin /Sin ED - cos /Cos ED - /NodeSep ED - NodePos NodeMtrx dtransform CM idtransform end } - { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse -} def -% -/AddOffset { - 1 index 0 eq - { pop pop } - { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse -} def -% -/GetEdgeA { - NodeSepA AngleA NodeA NodeSepTypeA GetEdge - OffsetA AngleA AddOffset - yA add /yA1 ED - xA add /xA1 ED -} def -% -/GetEdgeB { - NodeSepB AngleB NodeB NodeSepTypeB GetEdge - OffsetB AngleB AddOffset - yB add /yB1 ED - xB add /xB1 ED -} def -% -/GetArmA { - ArmTypeA 0 eq - { /xA2 ArmA AngleA cos mul xA1 add def - /yA2 ArmA AngleA sin mul yA1 add def } - { ArmTypeA 1 eq {{exch}} {{}} ifelse - /Do ED - ArmA AngleA XYPos OffsetA AngleA AddOffset - yA add /yA2 ED - xA add /xA2 ED } ifelse -} def -% -/GetArmB { - ArmTypeB 0 eq - { /xB2 ArmB AngleB cos mul xB1 add def - /yB2 ArmB AngleB sin mul yB1 add def } - { ArmTypeB 1 eq {{exch}} {{}} ifelse - /Do ED - ArmB AngleB XYPos OffsetB AngleB AddOffset - yB add /yB2 ED - xB add /xB2 ED } ifelse -} def -% -/InitNC { - /b ED /a ED % second and first node - /NodeSepTypeB ED /NodeSepTypeA ED - /NodeSepB ED /NodeSepA ED - /OffsetB ED /OffsetA ED - tx@NodeDict a known tx@NodeDict b known and dup { - /NodeA a load def - /NodeB b load def - NodeA GetCenter /yA ED /xA ED - NodeB GetCenter /yB ED /xB ED } if -} def -% -/LPutLine { - 4 copy - 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED - 1 t sub mul - 3 1 roll 1 t sub mul - 4 1 roll t mul add /Y ED - t mul add /X ED -} def -% -/LPutLines { - mark LPutVar counttomark 2 div 1 sub /n ED -% t floor dup n gt - t floor dup n ge % to allow npos<= hv 2008-08-14 - { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse - cvi 2 mul { pop } repeat - LPutLine - cleartomark -} def -% -/BezierMidpoint { - /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED - /cx x1 x0 sub 3 mul def - /cy y1 y0 sub 3 mul def - /bx x2 x1 sub 3 mul cx sub def - /by y2 y1 sub 3 mul cy sub def - /ax x3 x0 sub cx sub bx sub def - /ay y3 y0 sub cy sub by sub def - ax t 3 exp mul bx t t mul mul add - cx t mul add x0 add ay t 3 exp mul - by t t mul mul add cy t mul add - y0 add 3 ay t t mul mul mul 2 - by t mul mul add cy add 3 ax t t mul mul mul - 2 bx t mul mul add cx add atan /NAngle ED - /Y ED /X ED -} def -% -/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def -} def -% -/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def - /NAngle yyB yyA sub xxB xxA sub Atan def -} def -/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def -% -/HPutLines { HPosBegin yB yA ge - { /check { le } def } { /check { ge } def } ifelse - /xxA xA def - /yyA yA def - mark xB yB LPutVar - { dup Y check { exit } { /yyA ED /xxA ED } ifelse } - loop - /yyB ED /xxB ED cleartomark HPosEnd -} def -% -/VPosBegin { - xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def -} def -% -/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def -/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { -exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark -VPosEnd } def -/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 -roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx -def grestore exec /LPutVar /SaveLPutVar load def -} def -% -/NCCoor { - /AngleA yB yA sub xB xA sub Atan def - /AngleB AngleA 180 add def - GetEdgeA GetEdgeB - /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def - /LPutPos { LPutVar LPutLine } def - /HPutPos { LPutVar HPutLine } def - /VPutPos { LPutVar VPutLine } def - LPutVar -} def -% -/NCLine { - NCCoor - tx@Dict begin - ArrowA CP 4 2 roll - ArrowB - lineto pop pop - end -} def -% -/NCLines { - false NArray - n 0 eq - { NCLine } - { 2 copy yA sub exch xA sub Atan /AngleA ED - n 2 mul dup index exch index yB sub exch xB sub - Atan /AngleB ED - GetEdgeA GetEdgeB - /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def - mark LPutVar - tx@Dict begin false Line end - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def - } ifelse -} def -% -/NCCurve { - GetEdgeA - GetEdgeB - xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 -roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA -GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict -begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] -cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines -} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def -% -/NCAngles { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform pop - xB2 yB2 mtrx transform exch pop - mtrx itransform - /y0 ED /x0 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def } def -% -/NCAngle { - GetEdgeA GetEdgeB GetArmB - /mtrx AngleA matrix rotate def - xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform - /y0 ED /x0 ED - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA1 yA1 - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCBar { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx itransform pop - xB2 yB2 mtrx itransform pop - sub dup 0 mtrx transform - 3 -1 roll 0 gt - { /yB2 exch yB2 add def /xB2 exch xB2 add def } - { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCDiag { - /lineAngle ED - GetEdgeA GetEdgeB GetArmA GetArmB mark - lineAngle abs 0 gt { - /xTemp xA2 10 add def - /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def - /dY1 yTemp yA2 sub def - /dX1 xTemp xA2 sub def - /dY2 yB2 yB1 sub def - /dX2 xB2 xB1 sub def - dX1 abs 0.01 lt { - /m2 dY2 dX2 div def - /xB2 xA2 def - /yB2 xA2 xB1 sub m2 mul yB1 add def - }{ - dX2 abs 0.01 lt { - /m1 dY1 dX1 div def - /xB2 xB1 def - /yB2 xB1 xA2 sub m1 mul yA2 add def - }{% - /m1 dY1 dX1 div def - /m2 dY2 dX2 div def - /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def - /yB2 xB2 xA2 sub m1 mul yA2 add def - } ifelse - } ifelse - } if - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetEdgeB GetArmA GetArmB mark -% ArmB 0 ne { xB1 yB1 } if -% xB2 yB2 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCDiagg { - /lineAngle ED - GetEdgeA GetArmA - lineAngle abs 0 gt - { lineAngle } - { yB yA2 sub xB xA2 sub Atan 180 add } ifelse - /AngleB ED - GetEdgeB mark - lineAngle abs 0 gt { - /dY2 yA2 yA1 sub def - /dX2 xA2 xA1 sub def - lineAngle abs 90 eq { - /m2 dY2 dX2 div def - /yA2 xB xA2 sub m2 mul yA2 add def - /xA2 xB def - }{ - /m1 lineAngle dup sin exch cos div def % tan alpha - dX2 abs 0.01 lt { - /yA2 xA1 xB sub m1 mul yB add def - /xA2 xA1 def - }{% - /m2 dY2 dX2 div def - /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def - /yA2 xA2 xB sub m1 mul yB add def - } ifelse - } ifelse - } if - xB1 yB1 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetArmA -% yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED -% GetEdgeB -% mark -% xB1 yB1 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCLoop { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED - /xB3 xB2 yB2 mtrx transform pop def - xB3 yA3 mtrx itransform /yB3 ED /xB3 ED - xA3 yA3 mtrx itransform /yA3 ED /xA3 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -% DG/SR modification begin - May 9, 1997 - Patch 1 -%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r -%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add -%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 -%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED -% -/NCCircle { - NodeSepA 0 NodeA 0 GetEdge pop - 2 div dup 2 exp r r mul sub abs sqrt - atan 2 mul /a ED - r AngleA 90 add PtoC yA add exch xA add - exch 2 copy - /LPutVar [ 4 2 roll r AngleA ] cvx def - /LPutPos { - LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC - 3 -1 roll add - /Y ED add /X ED /NAngle ED -% DG/SR modification end - } def - /HPutPos { LPutPos } def - /VPutPos { LPutPos } def - r AngleA 90 sub a add AngleA 270 add a sub - tx@Dict begin - /angleB ED /angleA ED /r ED - /c 57.2957 r Div def - /y ED /x ED -} def -% -/NCBox { - /d ED /h ED - /AngleB yB yA sub xB xA sub Atan def - /AngleA AngleB 180 add def - GetEdgeA GetEdgeB - /dx d AngleB sin mul def - /dy d AngleB cos mul neg def - /hx h AngleB sin mul neg def - /hy h AngleB cos mul def - /LPutVar [ - xA1 hx add yA1 hy add xB1 hx add yB1 hy add - xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def - /LPutPos { LPutLines } def - /HPutPos { xB yB xA yA LPutLine } def - /VPutPos { HPutPos } def - mark - LPutVar tx@Dict begin false Polygon end -} def -% -/NCArcBox { - /l ED neg /d ED /h ED /a ED - /AngleA yB yA sub xB xA sub Atan def - /AngleB AngleA 180 add def - /tA AngleA a sub 90 add def - /tB tA a 2 mul add def - /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def - /x0 xA r tA cos mul add def - /y0 yA r tA sin mul add def - /c 57.2958 r div def - /AngleA AngleA a sub 180 add def - /AngleB AngleB a add 180 add def - GetEdgeA GetEdgeB - /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def - /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def - l 0 eq { - x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn - }{ - x0 y0 translate - /tA AngleA l c mul add def - /tB AngleB l c mul sub def - 0 0 r h add tA tB arc r h add - AngleB PtoC r d add - AngleB PtoC 2 copy - 6 2 roll l arcto 4 { pop } repeat - r d add tB PtoC l arcto 4 { pop } repeat - 0 0 r d add tB tA arcn r d add - AngleA PtoC r h add - AngleA PtoC 2 copy 6 2 roll - l arcto 4 { pop } repeat - r h add tA PtoC l arcto 4 { pop } repeat - } ifelse - closepath - /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def - /LPutPos { - LPutVar /d ED /h ED - /AngleB ED /AngleA ED - /r ED /y0 ED /x0 ED - t 1 le { - r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC - }{t 2 lt { - /NAngle AngleB 180 add def r 2 t sub - h mul t 1 sub d mul add add AngleB PtoC - }{ - t 3 lt { - r d add AngleB 3 t sub mul AngleA 2 t sub - mul add dup 90 sub /NAngle ED PtoC - }{ - /NAngle AngleA 180 add def - r 4 t sub d mul t 3 sub h mul add add AngleA PtoC - } ifelse - } ifelse - } ifelse - y0 add /Y ED x0 add /X ED - } def - /HPutPos { LPutPos } def - /VPutPos { LPutPos } def -} def -% -/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB -sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 -ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB -w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos -{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop } -{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine } -def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin -/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def -% -/LPutCoor { - NAngle - tx@Dict begin /NAngle ED end - gsave - CM STV - CP Y sub neg exch X sub neg exch moveto - setmatrix CP - grestore -} def -% -/LPut { - tx@NodeDict /LPutPos known - { LPutPos } { CP /Y ED /X ED /NAngle 0 def } ifelse - LPutCoor -} def -% -/HPutAdjust { - Sin Cos mul 0 eq - { 0 } - { d Cos mul Sin div flag not { neg } if - h Cos mul Sin div flag { neg } if - 2 copy gt { pop } { exch pop } ifelse - } ifelse - s add flag { r add neg }{ l add } ifelse - X add /X ED -} def -% -/VPutAdjust { - Sin Cos mul - 0 eq - { 0 } - { l Sin mul Cos div flag { neg } if - r Sin mul Cos div flag not { neg } if - 2 copy gt { pop } { exch pop } ifelse - } ifelse - s add flag { d add } { h add neg } ifelse - Y add /Y ED -} def -% -% -end -% -% END pst-node.pro -%%EndProcSet -%%BeginProcSet: l3backend-dvips.pro 0 0 -%% -%% This is file `l3backend-dvips.pro', -%% generated with the docstrip utility. -%% -%% The original source files were: -%% -%% l3backend-header.dtx (with options: `header,dvips') -%% -%% Copyright (C) 2019-2022 The LaTeX Project -%% -%% It may be distributed and/or modified under the conditions of -%% the LaTeX Project Public License (LPPL), either version 1.3c of -%% this license or (at your option) any later version. 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